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The Rayleigh Pitot tube formula does not relate which of these quantities to the others?(a) Pitot pressure(b) Free-stream static pressure(c) Free-stream Mach number(d) Upstream flow velocityThis question was addressed to me in an interview for job.This interesting question is from Measurement of Velocity in a Compressible Flow topic in portion Normal Shock Waves of Aerodynamics

Answer»

Right option is (b) Free-STREAM static pressure

For explanation: The Rayleigh Pitot tube FORMULA HELPS to calculate the free- stream Mach number using the MEASURED values of free-stream static pressure and Pitot pressure. It is based on the fact that a bow shock is formed at the mouth of the Pitot tube for a COMPRESSIBLE supersonic flow. The Pitot pressure is the stagnation pressure behind the bow shock.



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